GCF of 9880/623, 9525/983
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9880/623, 9525/983 i.e 5/612409 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9880/623, 9525/983.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 9880/623,9525/983?
Given fractions are 9880/623,9525/983
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 9880/623,9525/983, numerators are 9880,9525
Denominators are 623,983
The GCF of 9880,9525 is 5 .
LCM of 623,983 is 612409.
The greatest common factor of 9880/623,9525/983 = [GCF of 9880,9525]/[LCM of 623,983]= 5/612409
Therefore, the GCF of 9880/623,9525/983 is 5/612409.
To find the highest common factor of 9880,9525, we have to find the factors of both numbers and list the highest common factor.
The factors of 9880 are 1, 2, 4, 5, 8, 10, 13, 19, 20, 26, 38, 40, 52, 65, 76, 95, 104, 130, 152, 190, 247, 260, 380, 494, 520, 760, 988, 1235, 1976, 2470, 4940, 9880
The factors of 9525 are 1, 3, 5, 15, 25, 75, 127, 381, 635, 1905, 3175, 9525
The HCF of 9880,9525 is 5.
Lets's calculate GCF of 9880,9525
| 5 | 9880, 9525 |
| 1976, 1905 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9880,9525 By Matching Biggest Common Factor Method
Now, list down the factors of 9880
:1,2,4,5,8,10,13,19,20,26,38,40,52,65,76,95,104,130,152,190,247,260,380,494,520,760,988,1235,1976,2470,4940,9880
Now, list down the factors of 9525
:1,3,5,15,25,75,127,381,635,1905,3175,9525
Greatest Common Factor
We found the factors 9880,9525 . The biggest common factor number is the GCF number.
So the greatest common factor 9880,9525 is 5.
Lets's calculate LCM of 623,983
Given numbers has no common factors except 1. So, there LCM is their product i.e 612409
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/612409
Therefore, the GCF of Fractions 9880/623,9525/983 is 5/612409
Least Common Multiple of 623,983 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 623,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(623,983) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(623,983) x common factors =1 x 1 = 1
LCM(623,983) = ( 623 × 983 ) / 1
LCM(623,983) = 612409 / 1
LCM(623,983) = 612409
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FAQs on GCF of Fractions of 9880/623, 9525/983
1. What is the HCF of 9880,9525?
The HCF of 9880,9525 is 5
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 9880/623, 9525/983?
Answer: GCF of Numerators as per given numbers 9880/623, 9525/983 is
GCF of Numerators i.e. for 9880,9525 is 5
LCM of denominators i.e. for 623,983 is 612409.
Thus, GCF of Fractions is 5/612409.Finally, GCF of Fractions for 9880/623, 9525/983 is 5/612409.